Finding the Third Proportional to 102,399 and 160,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,399 : 160,285.50 = 160,285.50 : x
2. Step 2: Convert to fraction form
   102,399/160,285.50 = 160,285.50/x
3. Step 3: Cross multiply
   102,399x = 160,285.50 × 160,285.50
4. Step 4: Simplify right side
   102,399x = 25,691,441,510.25
5. Step 5: Solve for x
   x = 25,691,441,510.25/102,399
6. Step 6: Final answer
   x = 250,895.43